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Finding the Fourth Proportional to 129,138.80, 178,222.68 and 75,441.08

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Solution

The fourth proportional to 129,138.80, 178,222.68 and 75,441.08 is: 104,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,138.80 : 178,222.68 = 75,441.08 : x
  2. Step 2: Convert to fraction form
    129,138.80/178,222.68 = 75,441.08/x
  3. Step 3: Cross multiply
    129,138.80x = 178,222.68 × 75,441.08
  4. Step 4: Simplify right side
    129,138.80x = 13,445,311,459.69
  5. Step 5: Solve for x
    x = 13,445,311,459.69/129,138.80
  6. Step 6: Final answer
    x = 104,115.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.